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Finding the Third Proportional to 130,761 and 201,258

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Solution

The third proportional to 130,761 and 201,258 is: 309,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,761 : 201,258 = 201,258 : x
  2. Step 2: Convert to fraction form
    130,761/201,258 = 201,258/x
  3. Step 3: Cross multiply
    130,761x = 201,258 × 201,258
  4. Step 4: Simplify right side
    130,761x = 40,504,782,564
  5. Step 5: Solve for x
    x = 40,504,782,564/130,761
  6. Step 6: Final answer
    x = 309,761.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.